As we will see, the system defined by the Lagrangian (REF ) is relatively complete.This example does not cover every contingency. In particular, it does not include redundant constraints [1]}. It contains both primary and secondary constraints, both first and second class constraints, and
restrictions on the Lagrange multipliers. The first class constraints for this system are not all primary; this allows us to address the Dirac conjecture. The second class constraints can be eliminated by introducing Dirac brackets. Finally, this system contains both physical and gauge degrees of freedom. The gauge freedom can be eliminated with suitable gauge conditions.
